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Question

1 litre of an ideal gas (γ=1.5) at 300 K is suddenly compressed to half its original volume.Find the ratio of the final pressure to the initial pressure.

A
1.828
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B
3.828
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C
2.828
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D
5.828
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Solution

The correct option is B 2.828Given : 1 litre1 litre of an ideal gas (γ=1.5)(γ=1.5) at 300 K300 K is suddenly compressed to half its original volume.Find the ratio of the final pressure to the initial pressure.Solution:γ=1.5 , T=300K , V=1L , V=1/2 LThe process is adiabatic as it is suddenP1Vγ1=P2Vγ2 ⇒ P(1)1.5=P2(2)1.5P2P1=2√2 = 2.828The Correct Opt = C

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